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What volume of 0.1 M KMnO4 solution is needed to completely oxidation of 40 ml of 0.2 M oxalic acid in presence of H2SO4?

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2KMnO4 + 3H2SO4 →K2SO4 + 2MnSO4 + 3H2O + 5O

\(\overset{COOH}{\underset{COOH}|}+O\) → 2CO2 + H2O]x5

\(\overset {+7} {2KMnO_4}+ 3H_2SO_4 + \overset{+3}{\overset{5\,COOH}{\underset{+3COOH}|}}\)

→ K2SO4\(\overset {+2}{2MnSO_4} + \overset {+4}{10CO_2} + 8H_2O\)

Change of oxidation state of Mn = 5

∴ Normality of KMnO4 = molarity x n

= 0.1 x 5

= 0.5 N

Change of Oxidation carbon in oxalic acid = 2

∴ Normality of Oxalic acid = 0.2 M x 2 = 0.4 N

Using Normality equation

(N1V1) KMnO4 = (N2V2) oxalic acid

= V1 x 0.5 N = 0.4N x 40 ml

= V1\(\frac {0.4N x 40ml}{0.5}\)

= V1 = 32 ml

Hence, 32 ml of 0.1 M KmnO4 required to complete oxidation of 40 ml of 0.2 oxalic acid.

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